scholarly journals MULTIPLICITY RESULTS FOR A FOURTH ORDER QUASI-LINEAR PROBLEMS

2014 ◽  
Vol 32 (1) ◽  
pp. 215
Author(s):  
Kissi Fouad
Keyword(s):  
Fourth Order ◽  
Multiplicity Results ◽  
Linear Problems

scholarly journals Existence results for fractional p-Laplacian problems via Morse theory

2016 ◽  
Vol 9 (2) ◽  
Author(s):  
Antonio Iannizzotto ◽  
Shibo Liu ◽  
Kanishka Perera ◽  
Marco Squassina
Keyword(s):  
Phase Transition ◽  
Game Theory ◽  
Morse Theory ◽  
Fractional Laplacian ◽  
Existence Results ◽  
Nonlocal Problems ◽  
Finite Multiplicity ◽  
Topological Methods ◽  
Multiplicity Results ◽  
Linear Problems

AbstractWe investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of continuum mechanics, phase transition phenomena, population dynamics and game theory. Under different growth assumptions on the reaction term, we obtain various existence as well as finite multiplicity results by means of variational and topological methods and, in particular, arguments from Morse theory.

Multiplicity results for a fourth-order semilinear elliptic problem

1998 ◽  
Vol 31 (7) ◽  
pp. 895-908 ◽  
Author(s):  
Anna Maria Micheletti ◽  
Angela Pistoia
Keyword(s):  
Fourth Order ◽  
Elliptic Problem ◽  
Multiplicity Results ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

scholarly journals Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Chun Li ◽  
Zeng-Qi Ou ◽  
Chun-Lei Tang
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Linking Theorem ◽  
Nontrivial Solutions ◽  
Fountain Theorem ◽  
Multiplicity Results ◽  
Local Linking ◽  
Existence And Multiplicity ◽  
Fourth Order Elliptic Equations

Using the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.

Multiplicity results for quasi-linear problems

2008 ◽  
Vol 68 (7) ◽  
pp. 1802-1815 ◽  
Author(s):  
A. Ayoujil ◽  
A.R. El Amrouss
Keyword(s):  
Multiplicity Results ◽  
Linear Problems
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